Large-ratio speed changing apparatus

Description

BACKGROUND

Field of the Invention

[0001] The present invention relates in general to speed changing apparatus and, in particular, to large-ratio speed changing apparatus. More particularly, the present invention relates to a large-ratio speed changing apparatus for both speed reduction and speed increase applications.

Description of the Related Art

[0002] Speed changing is indispensable. Frequently a prime mover must work at high rotational speeds for optimized efficiency while the load it drives must run at tenths or even hundredths its speed. One way to obtain such large speed reduction ratio is to use a cascade of reducers of smaller ratio but at best efficiency.

[0003] However, this cascaded speed reduction suffers poor overall speed-changing efficiency due to its nature of having the entire load passing successively through each and every reducer stage of the cascade. The arrangement is also bulky for the obvious reason that each stage in the cascade must be fully rated to handle one hundred percent of the total power delivered by the prime mover.

[0004] One type of "single-stage" reducers currently used widely is the cycloidal drive manufactured by Sumitomo Heavy Industries, Ltd. of Tokyo, Japan. Although relatively compact for speed-changing ratios ranging from tens to more than one hundred, the drive is, essentially, one cycloidal gearing stage followed by an off-axis power extraction stage.

[0005] FIG. 1 schematically illustrates the configuration of such a cycloidal speed reducer in cross section. The conventional device in FIG. 1 has a fixed ring gear 11 and a shaped planet element 12, sometimes a shaped disc or sometimes simply a gear. The planet element 12 engages with and moves inside the ring gear 11 epicyclically. The two elements 11, 12 have an as-small-as-possible difference in their working pitch diameters.

[0006] For the off-axis power extraction stage, a disc 13 is fixed to the planet element 12 coaxially on their axis 19 and has a number of holes 17 to allow for engagement by a corresponding number of roller pins 18 planted on a plate 14. The plate 14 is coupled to the output shaft 16 of the drive and is centered on the central axis 10 of the device. This "power extraction" arrangement allows the drive to deliver a speed-reduction ratio of -K/i, wherein K is the pitch diameter of the planet element 12 and i is the difference between the pitch diameters of elements 11 and 12. In a typical example wherein the ring gear 11 has 80 teeth and a gear version of the planet element 12 has 79 (K = 80 mm and i = 1 mm using module 1 metric gears), the ratio is -80 when mechanical power is transmitted by the device via the input at shaft 15.

[0007] FIG. 2 schematically illustrates the off-axis power extraction coupling used for the prior art cycloidal drive of FIG. 1. At any given time, only one of the typically eight or more pin-roller and disc hole engagements is transmitting torque fully. For example, with the angular position of the relative offset and with the direction of rotation as shown, only the pair of pin roller 18C and hole 17C is transmitting power fully for the device.

[0008] This is obvious as the edge of the hole 17C of the disc 13 that is driving and in contact with the pin roller 18C of the driven plate 14 must be behind the roller 18C along the direction of rotation. In this sense pin roller and hole pairs identified by B and D are partially working to transmit power because of the location of their contact points relative to the direction of rotation of the disc 13 and plate 14. In the same sense, the pin-roller and hole pair 18G and 17G is not working at all because the pin roller 18G, the driven, travels behind its contact point with its hole 17G, the driver.

[0009] Conventional cycloidal drives rely on a synchronizing engagement between two elements (gears) of different pitch diameter with offset axes. But this is not an optimized mechanism due to low utilization: Of all eight pin/hole pairs shown in FIG. 2, half (four or even five depending on the angular position) of them are not in the position to drive the load. Of the other half, only one can be in a full-effort position to drive the load, the other three are in their partial effort. With limitations such as these, cycloidal drives achieve typically less than 80 percent efficiency under normal load conditions.

[0010] Further, to achieve a speed reduction ratio up to a value of K, a cycloidal drive requires a fixed ring gear of K+1 teeth. For large ratio, the large ring gear number makes the drive bulky if the rated torque is substantial therefore the teeth must be sufficiently robust - in size. In other words, compactness of the cycloidal drive places a limitation on the torque and power rating of the drive.

[0011] Another type of large-ratio reducer widely used in precision and aerospace applications is the harmonic drive manufactured by Harmonic Drive Systems Inc. of Tokyo, Japan. Operating the basic concept known as strain wave gearing, harmonic drive is relatively low in available power rating. The drive also delivers typically less than 60 percent efficiency under normal load because its spline element flexes all the time as the drive operates to transmit mechanical power.

[0012] In addition to large-ratio speed reducers there are also the need to increase a slow input speed to an output up to tens or hundreds of times faster.

[0013] CN 100 439 750 C discloses a transmission mechanism consists of inner gear, pin gear and hypocycloidal gear. The inner gear is set eccentrically to the hypocycloidal gear and meshed with the pin gear, and the pin gear is meshed with the hypocycloidal gear. The eccentric pin gear has fixed rotation shaft and its rotation axes are distributed in the cylindrical surface with the rotating axis of the hypocycloidal gear as center. This document shows the features of the preamble of claim 1.

[0014] GB 2 357 329 A discloses a motor assembly adapted to be mounted to a bicycle for driving a wheel of the bicycle comprising: an electric motor and a speed reduction device. The speed reduction device is a high reduction cycloidal reduction device. Balancing means such as a counterweight or an additional cycloidal disc out of phase with respect to the other disc are also comprised.

SUMMARY OF THE INVENTION

[0015] The present invention is provided by appended claim 1. Beneficial embodiments are provided in the dependent claims. Accordingly, is it an object of the present invention to provide an apparatus for large-ratio speed changing using coaxial pairs of engagement members, e.g. gears with small tooth numbers in the tens to the twenties.

[0016] It is also an object of the present invention to provide an apparatus for large-ratio speed changing that is high efficiency as with precision gear meshing.

[0017] It is also an object of the present invention to provide an apparatus for large-ratio speed changing that has high power density with small tooth-number gear members that can be constructed with large module number.

[0018] In order to achieve the above and other objects, the present invention provides a speed changing apparatus for changing an input speed to an output either greatly slower or faster. The apparatus has a coaxial pair of ring gears that includes a large ring gear having a pitch diameter A and a small ring gear having a pitch diameter D. A coaxial pair of spur gears includes a large spur gear having a pitch diameter B and a small spur gear having a pitch diameter C. The large spur gear meshes with the large ring gear and the small spur gear meshes with the small ring gear. A carrier member is connected to one of the input and output shafts of the apparatus. Two gears of one of the two coaxial pairs being fixed together to operate epicyclically on the carrier. One gear of the other of the two coaxial pairs being fixed to the frame of the apparatus and the other gear being connected to the other of the input and output shafts. In the apparatus, the four gears satisfy the dimensional relationship of A = K+i, B = K, C = K-j and D = K+i-j wherein K is the measured value of the pitch diameter of the large spur gear, i is the difference between pitch diameters of the large ring gear and the large spur gear and j is the difference between pitch diameters of the large ring gear and the small ring gear.

BRIEF DESCRIPTION OF THE DRAWINGS

[0019] 

FIG. 1 schematically illustrates a prior art large-ratio cycloidal speed reducer.

FIG. 2 schematically illustrates the off-axis power extraction coupling used for a prior art cycloidal drive.

FIG. 3 is a cross-sectional view of a speed changing apparatus of the present invention that schematically illustrates the off-axis power extraction stage thereof.

FIG. 4 schematically illustrates a cross-sectional view of a speed changing apparatus of the present invention outlining the dimensional configuration of all members thereof.

FIGS. 5 and 6 schematically illustrate cross-sectional views of the speed changing apparatus of the present invention in different input- and output-member arrangements.

FIG. 7 schematically illustrates a cross-sectional view of a speed changing apparatus of the present invention with a dimensional configuration for optimized speed-changing application.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0020] FIG. 3 is a cross-sectional configuration of a speed changing apparatus of the present invention that schematically illustrates an equivalent arrangement of the off-axis power extraction stage thereof. With simultaneous reference also to FIGS. 1 and 2, instead of the plate 14 with multiple pin-rollers 18 that engages with their corresponding holes 17 formed in the disc 13, a speed changing apparatus of the present invention has a different arrangement for power extraction.

[0021] As is illustrated, while the planet gear 32 moves epicyclically inside the frame ring gear 31, the planet gear 33 that is fixed coaxially with gear 32 also moves epicyclically inside the ring gear 34 of the second pair of ring-spur gears. As the gear 33 spins and moves epicyclically inside gear 34, its outer most edge (of its pitch circle) 33P plots a trace 33T. This trace 33T is made to exactly coincide with the pitch circle of the ring gear 34. Essentially, ring gear 34 of the second pair, together with its meshing spur gear 33, serves a similar function as the off-axis power extraction means of a conventional cycloidal drive but allows the present inventive apparatus to produce a speed change ratio that is much larger, as is described hereinafter.

[0022] FIG. 4 schematically illustrates in a cross-sectional view the configuration of a speed changing apparatus of the present invention outlining the dimensional configuration of all members thereof. The speed changing apparatus has a coaxial pair of ring gears that includes a large ring gear 41 having a pitch diameter A and a small ring gear 44 having a pitch diameter D. The apparatus also has a coaxial pair of spur gears that includes a large spur gear 42 having a pitch diameter B and a small spur gear 43 having a pitch diameter C. The large spur gear 42 meshes with the large ring gear 41 and the small spur gear 43 meshes with the small ring gear 44, forming two meshing pairs. A carrier member 45E is connected to the input shaft 45 of the speed changing apparatus. The carrier member 45E, essentially a "twisted" version of that found in conventional planetary gear trains, is formed by combining the input shaft 45 (on the central axis 40 of the entire system) and the central shaft for the pair of gears 42 and 43 (on its own axis 49).

[0023] Further, the two coaxial spur gears 42 and 43 are fixed together to each other to operate epicyclically on the carrier 45E. The large ring gear 41, in this depicted example of FIG. 4, is fixed to the frame 47 of the apparatus serving as the reaction member of the system and the small ring gear 44 is connected to the output shaft 46.

[0024] In this gear train system, the four gears 41, 42, 43 and 44 satisfy the dimensional relationship of A = K+i, B = K, C = K-j and D = K+i-j wherein K is the measured value of the pitch diameter of the large spur gear 42, i is the difference between pitch diameters of the large ring gear 41 and the large spur gear 42 and j is the difference between pitch diameters of the large ring gear 41 and the small ring gear 44. Such dimensional relationship is clearly seen in FIG. 4. Without this dimensional relationship, the device will not function because the gear engagement will be out of its necessary alignment. As is comprehensible, implementations of the speed-changing apparatus of the present invention using gears must have integer tooth numbers.

[0025] Essentially the speed changing apparatus of FIG. 4 has the carrier 45E acting as the input, the small ring gear 44 as the output, and the large ring gear 41 the reaction member. Meanwhile, the two coaxial spur gears 42 and 43 that are fixed together move epicyclically in the system. The illustrated speed changing apparatus of FIG. 4 has a speed change ratio of K(K + i - j)/ij. For a gear-based system with a dimension of A, B, C and D pitch diameters that of 16T (teeth), 15T, 14T and 15T module 10 gears respectively, or K = 150 mm (15 cm), i = 10 mm (1 cm) and j = 10 mm (1 cm), the speed changing ratio is 225.

[0026] By contrast, a conventional cycloidal drive (of FIG. 1) with A pitch diameter that of a 16T gear and B of 15T, the speed-changing ratio is -15. This means a speed changing apparatus of the present invention is able to achieve a ratio that is the square in numerical value that of a cycloidal drive with comparable tooth number.

[0027] A speed changing apparatus of the present invention can be used in different configurations of input, output and reaction member assignments among its constituent gear and carrier members. Essentially, a general-purpose speed changing apparatus of the present invention - used either as a speed reducer or an increaser having either a fixed ring gear or a fixed spur gear - can be constructed to have a coaxial pair of ring gears that includes a large ring gear having a pitch diameter A and a small ring gear having a pitch diameter D. Such an apparatus also has a coaxial pair of spur gears that includes a large spur gear having a pitch diameter B and a small spur gear having a pitch diameter C. The large spur gear meshes with the large ring gear and the small spur gear meshes with the small ring gear, forming two meshing pairs. A carrier member is connected to one of the input and output shafts of the apparatus. Two gears of one of the two coaxial pairs are fixed together to operate epicyclically on the carrier. One gear of the other of the two coaxial pairs is fixed to the frame of the apparatus and the other gear is connected to the other of the input and output shafts. In such a system, the four gears satisfy the dimensional relationship of A = K+i, B = K, C = K-j and D = K+i-j wherein K is the measured value of the pitch diameter of the large spur gear, i is the difference between pitch diameters of the large ring gear and the large spur gear and j is the difference between pitch diameters of the large ring gear and the small ring gear.

[0028] FIGS. 5 and 6 schematically illustrate cross-sectional views of the speed changing apparatus of the present invention that are in different input- and output-member arrangements. The examples of FIGS. 5 and 6 show the construction of reducers with 200-plus speed reduction ratio using two ring-spur gear pairs of different module numbers. The first pair with large ring and spur gears includes an 80-tooth ring gear 51, 61 with a module number of 2 making a pitch diameter of 160 mm and a 75T, M2 spur gear 52, 62 with 150 mm pitch. The second pair of small ring and spur includes a 60T, M2.5 ring gear 54, 64 with 150 mm pitch and a 56T, M2.5 spur 53, 63 with 140 mm pitch. Thus, with the large spur gear fixed to the device frame 52F as the reaction member as is the configuration of FIG. 5, the speed changing apparatus delivers a reduction ratio of -224.

[0029] The apparatus of FIG. 6, on the other hand, has a different configuration although using all the same gears as in FIG. 5, essentially the same gear role assignment as that described in FIG. 4 - with the large ring 61 fixed to device frame 61F as the reaction member.

[0030] Note that the examples of FIG. 5 and 6 have a dimensional configuration of K : i: j = 15 : 1 : 1 (75TxM2 : (80TxM2-75TxM2) : (80TxM2-60TxM2.5) = 150mm : 10mm: 10mm = 15 : 1 : 1).

[0031] In summary, a speed changing apparatus of the present invention outlined in FIG. 4 may have four different speed-changing setup configurations, as listed in Table 1. In Table 1, as well as 2 below, R, O and I in the Role row indicate, respectively, the reaction, the output and the input roles of the rotary elements of the inventive apparatus.

Table 1

Element	Large	Large	Small	Small	Carrier	Reduction
	Ring	Spur	Spur	Ring	Member	Ratio
	Gear	Gear	Gear	Gear
	4I	42	43	44	45E
Configuration I
Role	R	-	-	O	I
Motion	Fixed	Epicyclic	Epicyclic	Rotary	Rotary
Speed	0			ij/K(K+i-j)	I	K(K+i-j)/ij
Configuration 2
Role	O	-	-	R	I
Motion	Rotary	Epicyclic	Epicyclic	Fixed	Rotary
Speed	-ij/(K-j)(K+i)			0	I	-(K-j)(K+i)/ij
Configuration 3
Role	-	R	O	-	I
Motion	Epicyclic	Fixed	Rotary	Epicyclic	Rotary
Speed		0	-ij/(K+i)(K-j)		I	-(K+i)(K-j)/ij
Configuration 4
Role	-	O	R	-	I
Motion	Epicyclic	Rotary	Fixed	Epicyclic	Rotary
Speed		ij/K(K+i-j)	0		I	K(K+i-j)/ij

[0032] As is comprehensible for those skilled in the art, the speed-reducing configurations in Table 1 can be easily changed into speed-increasing simply by swapping the I and O role assignment of each.

[0033] FIG. 7 schematically illustrates a cross-sectional view of a speed changing apparatus of the present invention that has a dimensional configuration optimized for speed-changing application in terms of weight and size, or power density. Under this special case, configurations in Table 1 become that listed in Table 2.

Table 2

Element	Large	Large	Small	Small	Carrier	Reduction
	Ring	Spur	Spur	Ring	Member	Ratio
	Gear	Gear	Gear	Gear
	7I	72	73	74	75E
Configuration I
Role	R	-	-	O	I
Motion	Fixed	Epicyclic	Epicyclic	Rotary	Rotary
Speed	0			i2/K2	I	K2/i2
Configuration 2
Role	O	-	-	R	I
Motion	Rotary	Epicyclic	Epicyclic	Fixed	Rotary
Speed	-I2/(K2-I2)			0	I	I-K2/i2
Configuration 3
Role	-	R	O	-	I
Motion	Epicyclic	Fixed	Rotary	Epicyclic	Rotary
Speed		0	-I2/(K2-I2)		I	I-K2/i2
Configuration 4
Role	-	O	R	-	I
Motion	Epicyclic	Rotary	Fixed	Epicyclic	Rotary
Speed		i2/K2	0		I	K2/i2

[0034] Speed reduction ratios listed in the two tables show that with gears having tooth numbers centered at a value of K (with i and j values reduced to 1), a speed reducer of a ratio of K² can be constructed. This compares to the conventional cycloidal drive's reduction ratio of K.

[0035] Note, as is comprehensible, that a spur gear meshed inside a ring gear usually must have a tooth number sufficiently smaller than that of the ring. For example, with the popular 20-degree pressure angle gears, a minimum of 8-tooth difference is necessary. One typical approach to avoid gear interference for small tooth number difference is to employ profile shifting for the gears. Alternatively, with larger gear pressure angle, smaller tooth number difference is possible.

[0036] Also, since the epicyclic elements of one coaxial pair of the speed-changing apparatus of the present invention is normally so large in size relative to the other coaxial pair that only one pair is possible. A counterweight is therefore necessary in practical implementations of this inventive speed-changing apparatus, as is schematically illustrated as counterweight 65W in the embodiment depicted in FIG. 6. The counterweight is used to balance the mass of the epicyclic coaxial pair of gears opposite across the center axis of the apparatus.

[0037] While the above is a full description of the specific embodiments, various modifications, alternative constructions and equivalents may be used. For example, although geared implementations of the speed changing apparatus of the present invention are described as preferred embodiments, traction versions as well as strain wave gearing versions are equally applicable. Therefore, the above description and illustrations should not be taken as limiting the scope of the present invention.

Claims

1. A speed changing apparatus for changing an input speed at an input shaft (45, 55) to an output speed at an output shaft (46, 56), the apparatus comprising:

a coaxial pair of internal gear engagement members including a large internal gear engagement member (41, 51) having an engagement pitch diameter A and a small internal gear engagement member (44, 54) having an engagement pitch diameter D;

a coaxial pair of external gear engagement members including a large external gear engagement member (42, 52) having an engagement pitch diameter B and a small external gear engagement member (43, 53) having an engagement pitch diameter C; the large external gear engagement member (42, 52) engaging with the large internal gear engagement member (41, 51) and the small external gear engagement member (43, 53) engaging with the small internal gear engagement member (44, 54), forming two engaging pairs; and

a carrier member (45E, 55E) connected to one of the input and output shafts (45, 46; 55, 56) of the apparatus; wherein

two members (42, 43; 51, 54) of one of the two coaxial pairs being fixed together to move epicyclically on the carrier (45E, 55E); and

one member (41; 52) of the other of the two coaxial pairs being fixed to a frame of the apparatus and the other member (44; 53) being connected to the other of the input and output shafts (45, 46, 55, 56); the apparatus being characterized in that

the four gear engagement members (41, 42, 43, 44; 51, 52, 53, 54) satisfying the dimensional relationship of A = K+i, B = K, C = K-j and D = K+i-j wherein K is pitch diameter of the large external gear engagement member (42, 52), i is the difference between pitch diameters of the large internal gear engagement member (41, 51) and the large external gear engagement member (42, 52) and j is the difference between pitch diameters of the large internal gear engagement member (41, 51) and the small internal gear engagement member (44, 54).

2. The apparatus of Claim 1, wherein
the coaxial pair of internal engagement members are ring gear members; and
the coaxial pair of external engagement are strain wave gearing members.

3. The apparatus of Claim 1, wherein
the coaxial pair of internal engagement members are strain wave gearing; and
the coaxial pair of external engagement are spur gear members.

Ansprüche

1. Geschwindigkeitsschaltvorrichtung zum Schalten einer Eingangsgeschwindigkeit einer Eingangswelle (45, 55) zu einer Ausgangsgeschwindigkeit einer Ausgangswelle (46, 56), wobei die Vorrichtung umfasst:

ein koaxiales Paar Intern-Zahnradeingriffselemente einschließlich eines großen Intern-Zahnradeingriffselements (41, 51) mit einem Kopfkreisdurchmesser A und einem kleinen Intern-Zahnradeingriffselements (44, 54) mit einem Kopfkreisdurchmesser D;

ein koaxiales Paar Extern-Zahnradeingriffselemente einschließlich eines großen Extern-Zahnradeingriffselements (42, 52) mit einem Kopfkreisdurchmesser B und einem kleinen Extern-Zahnradeingriffselements (43, 53) mit einem Kopfkreisdurchmesser C; wobei das große Extern-Zahnradeingriffselement (42, 52) mit dem großen Intern-Zahnradeingriffselement (41, 51) eingreift und wobei das kleine Extern-Zahnradeingriffselement (43, 53) mit dem kleinen Intern-Zahnradeingriffselement (44, 54) eingreift, um zwei Eingriffspaare zu bilden; und

ein Trägerelement (45E, 55E), das mit einer der Eingangs- und Ausgangswellen (45, 46; 55, 56) der Vorrichtung verbunden ist, wobei

zwei Elemente (42, 43; 51, 54) eines der zwei koaxialen Paare aneinander befestigt sind, um sich epizyklisch auf dem Träger (45E, 55E) zu bewegen; und wobei

ein Element (41; 52) des anderen der zwei koaxialen Paare an einem Rahmen der Vorrichtung befestigt ist und das andere Element (44, 53) mit der anderen der Eingangs- und Ausgangswellen (45, 46; 55, 56) verbunden ist; wobei die Vorrichtung dadurch gekennzeichnet ist, dass

die vier Zahnradeingriffselemente (41, 42, 43, 44; 51, 52, 53, 54) die Abmessungsbeziehung von A = K + i, B = K, C = K - j und D = K + i - j erfüllen, wobei K dem Fußkreisdurchmesser des großen Extern-Zahnradeingriffselements (42, 52) entspricht, i der Differenz zwischen Fußkreisdurchmessern des großen Intern-Zahnradeingriffselements (41, 51) und des großen Extern-Zahnradeingriffselements (42, 52) entspricht und j der Differenz zwischen Fußkreisdurchmessern des großen Intern-Zahnradeingriffselements (41, 51) und des kleinen Intern-Zahnradeingriffselements (44, 54) entspricht.

2. Vorrichtung gemäß Anspruch 1, wobei
das koaxiale Paar von Intern-Zahnradeingriffselementen Ringzahnradelemente sind; und
das koaxiale Paar von Extern-Zahnradeingriffen Spannungswellengetriebeelemente sind.

3. Vorrichtung gemäß Anspruch 1, wobei
das koaxiale Paar von Intern-Zahnradeingriffselementen Spannungswellengetriebe sind; und
das koaxiale Paar von Extern-Zahnradeingriffen Stirnradelemente sind.

Revendications

1. Dispositif de changement de vitesses pour changer une vitesse d'entrée au niveau d'un arbre d'entrée (45,55) en une vitesse de sortie au niveau d'un arbre de sortie (46,56), le dispositif comprenant :

une paire coaxiale d'éléments d'engagement d'engrenages internes incluant un grand élément d'engagement d'engrenage interne (41,51) ayant un diamètre primitif d'engagement A et un petit élément d'engagement d'engrenage interne (44,54) ayant un diamètre primitif d'engagement D ;

une paire coaxiale d'élément d'engagement d'engrenage externe incluant un grand élément d'engagement d'engrenage externe (42,52) ayant un diamètre primitif d'engagement B et un petit élément d'engagement d'engrenage externe (43,53) ayant un diamètre primitif d'engagement C ; le grand élément d'engagement d'engrenage externe (42,52) s'engageant avec le grand élément d'engagement d'engrenage interne (41,51) et le petit élément d'engagement d'engrenage externe (43,53) s'engageant avec le petit élément d'engagement d'engrenage interne (44,54) en formant deux paires engagées ; et

un élément porteur (45E,55E) raccordé à un des arbres d'entrée et de sortie (45,46 ;55,56) du dispositif ; dans lequel

deux éléments (42,43 ;51,54) d'une deux paires coaxiales étant fixées conjointement afin de se déplacer épicycliquement sur l'élément porteur (45E, 55E) ; et

un élément (41 ;52) de l'autre des deux paires coaxiales étant fixées à un châssis du dispositif et l'autre élément (44 ;53) étant raccordé à l'autre des arbres d'entrée et de sortie (45,46,55,56), le dispositif étant caractérisé en ce que

les quatre éléments d'engagement d'engrenage (41,42,43,44 ;51,52,53,54) satisfaisant à la relation dimensionnelle de A=K+i, B=K, C=K-j et D=K+i+j dans lequel K est le diamètre primitif du grand élément d'engagement d'engrenage externe (42,52), i est la différence entre les diamètres primitifs du grand élément d'engagement d'engrenage interne (41,51) et du grand élément d'engagement d'engrenage externe (42,52) et j est la différence entre le diamètres primitif du grand élément d'engagement d'engrenage interne (41,51) et du petit élément d'engagement d'engrenage interne (44, 54).

2. Dispositif selon la revendication 1, dans lequel
la paire coaxiale d'éléments d'engagement internes sont des éléments de couronnes dentées; et
la paire coaxiale d'éléments d'engagement externes sont des éléments d'engrenages à onde de tension.

3. Dispositif selon la revendication 1, dans lequel
la paire coaxiale d'éléments d'engagement internes sont des engrenages à ondes de tension ; et
la paire coaxiale d'éléments d'engagement externes sont des éléments d'engrenages cylindriques.

Drawing